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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 7, Pages 57–72 (Mi ivm1654)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical experiment in the investigation of polynomial quasisolutions of linear differential-difference equations

V. B. Cherepennikov, P. G. Ermolaeva

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (318 kB) Citations (2)
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Abstract: In this paper we consider the initial problem with an initial point for a scalar linear inhomogeneous differential-difference equation of neutral type. For polynomial coefficients in the equation we introduce a formal solution, representing a polynomial of a certain degree (“a polynomial quasisolution”) substituting it in the initial equation, one obtains a residual. The work is dedicated to the definition and the analysis (on the base of numerical experiments) of polynomial quasisolutions for the solutions of the initial problem under consideration.
Keywords: linear differential-difference equations, method of polynomial quasisolutions, numerical experiment.
Received: 25.04.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 7, Pages 48–60
DOI: https://doi.org/10.3103/S1066369X08070074
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: V. B. Cherepennikov, P. G. Ermolaeva, “Numerical experiment in the investigation of polynomial quasisolutions of linear differential-difference equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 57–72; Russian Math. (Iz. VUZ), 52:7 (2008), 48–60
Citation in format AMSBIB
\Bibitem{CheErm08}
\by V.~B.~Cherepennikov, P.~G.~Ermolaeva
\paper Numerical experiment in the investigation of polynomial quasisolutions of linear differential-difference equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 7
\pages 57--72
\mathnet{http://mi.mathnet.ru/ivm1654}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2467446}
\zmath{https://zbmath.org/?q=an:1180.34060}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 7
\pages 48--60
\crossref{https://doi.org/10.3103/S1066369X08070074}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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